学术
摘 要:
套筒模型是复合材料中常用的进行纤维、基体间应力传递分析的轴对称模型。在套筒模型中,中心为纤维,纤维外包裹的＂套筒＂有假设为各向同性基体材料的,也有假设为横观各向同性复合材料的。不失一般性,本文将纤维和基体均视作横观各向同性材料,建立了任意楔形角的横观各向同性复合材料基体包裹横观各向同性纤维的轴对称模型,采用两次坐标变换、逐次渐近等求解方法,得到了求解该模型界面端应力奇异性指数的特征方程。考虑常见的碳纤维/环氧树脂复合材料制成的压入和拔出试件,根据得到的特征方程计算了两种试件的界面端奇异性指数随碳纤维体积百分含量的变化情况,结果发现,随纤维体积百分含量的增加,两种试件界端的奇异性均呈减弱趋势。[著者文摘]
文章出处:
《力学季刊》-2007年28卷4期 -604-611页
分 类 号:
文献标识码:
A
文章编号:
0254-0053（2007）04-8
Singularity Study of Transversely Isotropic Axisymmetric Interface End
FU Li-juan, JIANG Guo-dong, DAI Ying （School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China）
Abstract:
Axisymmetric cylindrical cell model is normally used in analyzing the stress transfer from the fiber is at the center, and is at the center, and to the matrix in composites. In the model the fiber is at the center, and is always supposed being wrapped with isotropic matrix or transversely isotropic composites. For universal, an axisymmetric cylindrical cell model with random wedge angles was set for singularity analysis at the interface end. And in the model the fiber and the matrix were all considered as transversely isotropic materials. The characteristic determinant, which was used to calculate the singularity index of interface end in specimen, was obtained following the procedure of coordinates transformation, asymptotic expansion and so on. The variations of singularities with the carbon fiber volume fractions in carbon/epoxy micro-indentation and pullout test specimens were investigated. It＇s found that the singularities of both two kinds of specimens were deceased with the increase of the fiber volume fraltions.[著者文摘]
Key words:
transversely isotropic material; interface end; stress singularity
基金资助:
国家自然科学基金资助项目（10672122）;上海市教委“曙光计划”
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